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LCM of 167, 518, 644, 788, 682

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 167, 518, 644, 788, 682 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 167, 518, 644, 788, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,518,644,788,682

Given numbers are 167,518,644,788,682

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 167,518,644,788,682 is 267315823852.

Find LCM of 167,518,644,788,682 with Prime Factorization


2 167, 518, 644, 788, 682
2 167, 259, 322, 394, 341
7 167, 259, 161, 197, 341
167, 37, 23, 197, 341

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 7 x 167 x 37 x 23 x 197 x 341 = 267315823852

Therefore, the lowest common multiple of 167,518,644,788,682 is 267315823852.

LCM Formula to Find Lowest Common Multiple of 167,518,644,788,682

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

167 x 518 x 644 x 788 x 682 = 29939372271424

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

167 : 1, 167

518 : 1, 2, 7, 14, 37, 74, 259, 518

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

788 : 1, 2, 4, 197, 394, 788

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,518,644,788,682, is 1.

Now, the common factors can be found like this.

167:167

518:2x 7x 37

644:2x 2x 7x 23

788:2x 2x 197

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29939372271424/(1x112)

LCM = 29939372271424/112

LCM = 267315823852

Thus, we can understand that the LCM of 167,518,644,788,682 is 267315823852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 518, 644, 788, 682

1. What is the LCM of 167, 518, 644, 788, 682?

Answer: LCM of 167, 518, 644, 788, 682 is 267315823852.

2. How to calculate the LCM of 167, 518, 644, 788, 682?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 167, 518, 644, 788, 682.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.